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Unstable Eigenvalues Associated with Inviscid Fluid Flows (2000)

Friedlander, S. ; Vishik, M. ; Yudovich, V.

Springer

Journal of mathematical fluid mechanics 2 (2000), S. 365-380

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ISSN: 1422-6952

Keywords: Keywords. Euler equation, inviscid flow, instability, method of averaging.

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract. An example is presented of a class of periodic, two-dimensional, inviscid fluid flows where the stability spectrum contains both discrete unstable eigenvalues and an unstable essential spectrum. The method of averaging is used to demonstrate the existence of unstable eigenvalues. For such flows spectral instability implies nonlinear instability.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00000959

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